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frozen [14]
3 years ago
12

PLEASE SHOW YOUR WORK!!! (solve system of equations by adding, subtracting, or multiplying.)

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
Hey friend, hope I can assist you!
I will solve by elimination <3.
Multiply 3x - 7y = 2 by 2: 6x - 14y = 4
6x - 14y = 4
6x - 9y = 9
5y = 5
Now we have
6x - 14y = 4
5y = 5
Now we want to solve 5y = 5 for y
So simply divide both sides by 5.
5y/5 = 5/5
This gives us one or in other words, y = 1.
Now we want to plug y = 1 into  6x - 14y = 4
So 6x - 14 * 1 = 4
This gives us
6x - 14 = 4
Now add 14 to both sides.
6x - 14 + 14 = 4 + 14
6x = 18
Now divide both sides by 6
6x/6 = 18/6
This gives us 3 so x = 3
Therefore our solutions to this system of equations would be y = 1 and x = 3

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132891 round the nerast hundred
Andrej [43]
Pretty sure that 132,891 rounded to the nearest hundred is 132,900
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4 years ago
The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
Which statement correctly describes this expression? 2m^3 -11
julsineya [31]

Answer:

Option A is the correct answer

Step-by-step explanation:

A. The difference of twice the cube of a number and 11

3 0
3 years ago
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Oksi-84 [34.3K]

Answer:

9\sqrt{3} cm^2

Step-by-step explanation:

area of an equilateral triangle = \frac{s^{2} \sqrt{3} }{4} (s = length of the side)

area = \frac{6^{2}\sqrt{3}  }{4}

area = \frac{36\sqrt{3} }{4}

area = 9\sqrt{3} cm^2

4 0
3 years ago
A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. What is the area of the pool?
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<span>You just need to multiply them together the. You'll get 2275/6 or 379 1/6 sq feet</span>
4 0
3 years ago
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